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SashulF [63]
2 years ago
8

Are these rates equivalent, 96 words typed for 3 minutes; 160 words typed for 5 minutes

Mathematics
1 answer:
monitta2 years ago
3 0
<h2>Greetings</h2>

Answer:

Yes, they are.

Step-by-step explanation:

<h3>1st rate)</h3>

Lets simplify both rates to the rate typer per minute.

(m is minutes)

3m = 96

Divide both sides by 3:

\frac{3m}{3} = \frac{96}{3}

m = 32

So the rate is 32 words per minute.

<h3>2nd rate</h3>

5m = 160

Divide both sides by 5:

\frac{5m}{5} = \frac{160}{5}

m = 32

<h3>So because the rates per minute are the same, they are equivalent.</h3>
<h2>Hope this helps!</h2>
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Find the value of x to the nearest tenth.<br> tan 34° = 20
Likurg_2 [28]

Answer:

The value of x = 13.5.

Step-by-step explanation:

<u>In this question x is missing.</u>

<u>So, the question would be:</u>

<u>tan 34° = x/20.</u>

Now, to find the value of x:

tan 34 = \frac{x}{20}

\frac{x}{20} = tan 34

Multiplying both sides by 20 we get:

x=tan 34\times 20

On simplifying both sides we get:

x=13.49

So, to get the value of x=13.49 to nearest tenth is 13.5. As we see in hundredth place it is 9 and 4 in tenth place, so after rounding to tenth place 4 will change to 5 so the value is 13.5.

Therefore, the value of x = 13.5.

7 0
2 years ago
Dude is making 12 pounds of nut mixture with macadamia nuts and almonds. Macadamia nuts cost $9 per pound and almonds cost $5.25
pshichka [43]

Number of pounds of macadamia nuts is 8 pounds and number of pounds of almonds is 4 pounds.

<u>Step-by-step explanation:</u>

Step 1:

Given total pounds of mixture = 12 pounds, cost of macadamia nuts per pound = $9, cost of almonds per pound = $5.25, total cost of mixture per pound = $7.75.

Let number of pounds of macadamia nuts be x and number of pounds of almonds be 12-x.

Step 2:

Form an equation using the above information.

⇒ 9x + 5.25 (12-x) = 12 × 7.75

⇒ 9x + 63 - 5.25x = 93

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Number of macadamia nuts is 8 pounds.

Step 3:

Calculate number pounds of almonds

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2 years ago
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DiKsa [7]
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If you could provide an example of a triangle, I will gladly help you with the steps! Hope this helped!
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